Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Textbook Question
Chapter 2.2, Problem 2.8P
Use your result in Prob. 2.7 to find the field inside and outside a solidsphere of radius R that carries a uniform volume charge density
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Students have asked these similar questions
E. When E and A were parallel, we called the quantity EA the electric flux through the surface.
For the parallel case, we found that EA is proportional to the number of field lines through the
surface.
By what trigonometric function of 0 must you multiply EA so that the product is proportional
to the number of field lines through the area for any orientation of the surface?
Rewrite the quantity described above as a product of just the vectors E and A.
Charge is distributed throughout a spherical shell of inner radius ₁ and outer radius r2 with a volume
density given by p= Por1/r, where po is a constant. Following the next few steps outlined, determine the
electric field due to this charge as a function of r, the distance from the center of the shell.
Hint
a. Let's start from outside-in. For a spherical Gaussian surface of radius r>r2, how much charge is
enclosed inside this Gaussian surface?
Hint for finding total charge
Qencl
(Answer in terms of given quantities, po, r1, 72, and physical constants ke and/or Eo. Use underscore
("_") for subscripts, and spell out Greek letters.)
b. What is the electric field as a function of r for distances greater than r₂? Finish the application of
Gauss's Law to find the electric field as a function of distance.
E(r> r₂)
c. Now let's work on the "mantle" layer, r₁
What Uniform Electric Field Strength must be developed across parallel conductive plates that are separated by 1 meter in order for a body of mass 1 microgram and
charge +1 nC to transit the plate gap in 1 ms? See illustration below.
1m
E=?
H
+
T=1 ms
1 μg
1 nC
Choose the best answer from the list below. Show your work per the problem solving rubric and submit in the following question.
A. 1X105 N/C
B. 2X106 N/C
C. 3X10 N/C
D. 4X108 N/C
Guiding Questions:
▪ Determine the acceleration, a, needed to transit in time t.
▪ Determine the force, f, needed to generate acceleration a.
▪ Determine the Electric Field necessary to generate force f.
Chapter 2 Solutions
Introduction to Electrodynamics
Ch. 2.1 - (a) Twelve equal charges,q, arc situated at the...Ch. 2.1 - Find the electric field (magnitude and direction)...Ch. 2.1 - Find the electric field a distance z above one end...Ch. 2.1 - Prob. 2.4PCh. 2.1 - Prob. 2.5PCh. 2.1 - Find the electric field a distance z above the...Ch. 2.1 - Find the electric field a distance z from the...Ch. 2.2 - Use your result in Prob. 2.7 to find the field...Ch. 2.2 - Prob. 2.9PCh. 2.2 - Prob. 2.10P
Ch. 2.2 - Use Gauss’s law to find the electric field inside...Ch. 2.2 - Prob. 2.12PCh. 2.2 - Prob. 2.13PCh. 2.2 - Prob. 2.14PCh. 2.2 - A thick spherical shell carries charge density...Ch. 2.2 - A long coaxial cable (Fig. 2.26) carries a uniform...Ch. 2.2 - Prob. 2.17PCh. 2.2 - Prob. 2.18PCh. 2.2 - Prob. 2.19PCh. 2.3 - One of these is an impossible electrostatic field....Ch. 2.3 - Prob. 2.21PCh. 2.3 - Find the potential a distance s from an infinitely...Ch. 2.3 - Prob. 2.23PCh. 2.3 - Prob. 2.24PCh. 2.3 - Prob. 2.25PCh. 2.3 - Prob. 2.26PCh. 2.3 - Prob. 2.27PCh. 2.3 - Prob. 2.28PCh. 2.3 - Prob. 2.29PCh. 2.3 - Prob. 2.30PCh. 2.4 - Prob. 2.31PCh. 2.4 - Prob. 2.32PCh. 2.4 - Prob. 2.33PCh. 2.4 - Find the energy stored in a uniformly charged...Ch. 2.4 - Prob. 2.35PCh. 2.4 - Prob. 2.36PCh. 2.4 - Prob. 2.37PCh. 2.5 - A metal sphere of radius R, carrying charge q, is...Ch. 2.5 - Prob. 2.39PCh. 2.5 - Prob. 2.40PCh. 2.5 - Prob. 2.41PCh. 2.5 - Prob. 2.42PCh. 2.5 - Prob. 2.43PCh. 2.5 - Prob. 2.44PCh. 2.5 - Prob. 2.45PCh. 2.5 - If the electric field in some region is given (in...Ch. 2.5 - Prob. 2.47PCh. 2.5 - Prob. 2.48PCh. 2.5 - Prob. 2.49PCh. 2.5 - Prob. 2.50PCh. 2.5 - Prob. 2.51PCh. 2.5 - Prob. 2.52PCh. 2.5 - Prob. 2.53PCh. 2.5 - Prob. 2.54PCh. 2.5 - Prob. 2.55PCh. 2.5 - Prob. 2.56PCh. 2.5 - Prob. 2.57PCh. 2.5 - Prob. 2.58PCh. 2.5 - Prob. 2.59PCh. 2.5 - Prob. 2.60PCh. 2.5 - Prob. 2.61P
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